A different approach to complex valued Gb -metric spaces

Ozgur Ege, Choonkil Park, Arslan Hojat Ansari

Research output: Contribution to journalArticlepeer-review


In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued Gb-metric spaces. Moreover, we define α− (F, ψ, φ) -contractive type and α-admissible mapping. Then we prove a fixed point theorem using these notions and the complex C-class function. The obtained results generalize some facts in the literature.

Original languageEnglish
Article number152
JournalAdvances in Difference Equations
Issue number1
StatePublished - 2020 Dec 1


  • Complex C-class function
  • Complex valued G-metric space
  • Fixed point

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